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in Differential equations by (54.8k points)

Consider a polynomial f(x), which satisfies the following conditions:

The function f(x) is 

(A) Even 

(B) Odd 

(C) Neither even nor odd 

(D) May be either even or odd

1 Answer

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Best answer

Answer is (C) Neither even nor odd

Using the value a = 1/4, b = 1 and c = 1, the function is

f(x) = x2/4 + x + 1

⇒ f(x) ≠ ±f(-x)

Hence, f(x) is neither odd nor even function

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